Fig. 1. Multi-material part modeling information flow chart

Fig. 2. Material distribution diagram

Fig. 3. Multi-material model diagrams for different reference gradient sources. (a) Reference feature is plane; (b) reference feature is point; (c) reference features is line

Fig. 4. Material distribution represented by different material distribution functions. (a) f(d)=sin(πd); (b) f(d)=1-d

Fig. 5. Geometric and material information of a point P in the line segment. (a) Information representation of each point in the line segment; (b) information representation of each point in the B-spline curve; (c) simplified B-spline curve

Fig. 6. Example diagram of functional gradient parts visual model. (a) FGM round table model; (b) FGM conical model; (c) FGM spring model; (d) FGM cylindrical model; (e) FGM round table model; (f) FGM conical model with gradient source as central axis; (g) FGM cube model

Fig. 7. Visual analysis of functional gradient model. (a) Parameter analysis of the FGM round table model; (b) material distribution along the gradient source direction

Fig. 8. Multi-gradient source visualization model. (a) Multi-gradient source cone model; (b) multi-gradient source hollow cylinder model; (c) multi-gradient source cylindrical model

Fig. 9. Visual analysis diagram of double-gradient source cone. (a) Conic parameter information; (b) single-gradient source cone with central axis A as the gradient source; (c) single-gradient source cone with bottom B as the gradient source; (d) double-gradient source cone model